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Finding the Third Proportional to 67,392 and 98,632

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Solution

The third proportional to 67,392 and 98,632 is: 144,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,392 : 98,632 = 98,632 : x
  2. Step 2: Convert to fraction form
    67,392/98,632 = 98,632/x
  3. Step 3: Cross multiply
    67,392x = 98,632 × 98,632
  4. Step 4: Simplify right side
    67,392x = 9,728,271,424
  5. Step 5: Solve for x
    x = 9,728,271,424/67,392
  6. Step 6: Final answer
    x = 144,353.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.